導電性流體受拉伸圓柱驅動之流動與熱傳遞

Flow and heat transfer of an electrically conducting fluid over a stretching cylinder

陳培育(Pei-Yu Chen)

指導教授 ： 劉一中

國立暨南國際大學/科技學院/土木工程學系/碩士(2012年)

https://doi.org/10.6837/NCNU.2012.00045

摘要

本研究主要探討二維不可壓縮的穩態磁流體於拉伸圓柱之外部流動與熱傳特徵，由一組符合連續、動量和能量的偏微分方程式來描述，經由相似變換轉變成非線性常微分方程組，過程中將考慮內部熱生成及熱輻射的效應並以改變雷諾數及普朗特數值，對速度與溫度變化特徵逐一的檢視。但由於計算域過長，所以本文再提出座標轉換，使邊界層得到壓縮以縮短計算域也降低數值計算上困難度；所得出新方程式與邊界條件，再利用Runge-Kutta數值積分法，結果用圖及表示之並以物理解釋。

關鍵字

磁流體 ； 穩態流動 ； 內部熱生成 ； 相似變換 ； 熱輻射

並列摘要

The present paper deals with the numerical solution of an electrically conducting fluid flow and heat transfer outside a stretching cylinder. The governing system of partial differential equations is converted into a system of ordinary differential equations using a similarity transformation, which is then solved numerically by the Runge-Kutta method together with the Newton-Raphson scheme. The energy equation includes the effect of internal heat source or sink and the thermal radiation. Because of algebraic decay, an exponential coordinate transform is used to facilitate numerical integration. The effects of the parameters involved, namely the magnetic parameter, Prandtl number, Reynolds number, internal heat parameter and thermal radiation parameter on the velocity and temperature fields are thoroughly examined and explained physically through figures and tables.

並列關鍵字

magnetic fluid flow ； steady-state ； internal heat generation ； similarity transformation ； thermal radiation

參考文獻

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